0=0.04(t^2-50t+5000)

Solution for 0=0.04(t^2-50t+5000) equation:

Simplifying
0 = 0.04(t2 + -50t + 5000)

Reorder the terms:
0 = 0.04(5000 + -50t + t2)
0 = (5000 * 0.04 + -50t * 0.04 + t2 * 0.04)
0 = (200 + -2t + 0.04t2)

Solving
0 = 200 + -2t + 0.04t2

Solving for variable 't'.

Combine like terms: 0 + -200 = -200
-200 + 2t + -0.04t2 = 200 + -2t + 0.04t2 + -200 + 2t + -0.04t2

Reorder the terms:
-200 + 2t + -0.04t2 = 200 + -200 + -2t + 2t + 0.04t2 + -0.04t2

Combine like terms: 200 + -200 = 0
-200 + 2t + -0.04t2 = 0 + -2t + 2t + 0.04t2 + -0.04t2
-200 + 2t + -0.04t2 = -2t + 2t + 0.04t2 + -0.04t2

Combine like terms: -2t + 2t = 0
-200 + 2t + -0.04t2 = 0 + 0.04t2 + -0.04t2
-200 + 2t + -0.04t2 = 0.04t2 + -0.04t2

Combine like terms: 0.04t2 + -0.04t2 = 0.00
-200 + 2t + -0.04t2 = 0.00

Begin completing the square.  Divide all terms by
-0.04 the coefficient of the squared term: 

Divide each side by '-0.04'.
5000 + -50t + t2 = 0

Move the constant term to the right:

Add '-5000' to each side of the equation.
5000 + -50t + -5000 + t2 = 0 + -5000

Reorder the terms:
5000 + -5000 + -50t + t2 = 0 + -5000

Combine like terms: 5000 + -5000 = 0
0 + -50t + t2 = 0 + -5000
-50t + t2 = 0 + -5000

Combine like terms: 0 + -5000 = -5000
-50t + t2 = -5000

The t term is -50t.  Take half its coefficient (-25).
Square it (625) and add it to both sides.

Add '625' to each side of the equation.
-50t + 625 + t2 = -5000 + 625

Reorder the terms:
625 + -50t + t2 = -5000 + 625

Combine like terms: -5000 + 625 = -4375
625 + -50t + t2 = -4375

Factor a perfect square on the left side:
(t + -25)(t + -25) = -4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.